Question

find the area.
area of □=□ in²
area of □=□ in²
remember a_2 = s^2
area of figure=□ in²

Explanation:

Step1: Calculate area of square

The side length of the square is \(4\) in. Using the formula \(A = s^2\) (where \(s\) is the side - length), we have \(A_{square}=4\times4 = 16\space in^{2}\).

Step2: Calculate area of rectangle

The width of the rectangle is \(2\) in and the height is \(7\) in. Using the formula \(A = l\times w\) (where \(l\) is the length and \(w\) is the width), we have \(A_{rectangle}=2\times7=14\space in^{2}\).

Step3: Calculate total area of the figure

The total area \(A\) of the figure is the sum of the area of the square and the area of the rectangle. So \(A = A_{square}+A_{rectangle}\). Substituting the values we found: \(A=16 + 14=30\space in^{2}\).

Answer:

Area of \(\square\) (square) \(= 16\space in^{2}\), Area of \(\square\) (rectangle) \(= 14\space in^{2}\), Area of Figure \(= 30\space in^{2}\)